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Finding the Third Proportional to 235,284 and 512,040

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Solution

The third proportional to 235,284 and 512,040 is: 1,114,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,284 : 512,040 = 512,040 : x
  2. Step 2: Convert to fraction form
    235,284/512,040 = 512,040/x
  3. Step 3: Cross multiply
    235,284x = 512,040 × 512,040
  4. Step 4: Simplify right side
    235,284x = 262,184,961,600
  5. Step 5: Solve for x
    x = 262,184,961,600/235,284
  6. Step 6: Final answer
    x = 1,114,334.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.